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55839888 = 24331361163
BaseRepresentation
bin1101010100000…
…0110010010000
310220001221221000
43111000302100
5103243334023
65312502000
71245426336
oct325006220
9126057830
1055839888
112957a375
121684a900
13b751570
1475b7b56
154d80243
hex3540c90

55839888 has 160 divisors (see below), whose sum is σ = 176516480. Its totient is φ = 16796160.

The previous prime is 55839887. The next prime is 55839911. The reversal of 55839888 is 88893855.

55839888 is a `hidden beast` number, since 558 + 3 + 9 + 8 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (55839887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 342495 + ... + 342657.

It is an arithmetic number, because the mean of its divisors is an integer number (1103228).

Almost surely, 255839888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55839888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88258240).

55839888 is an abundant number, since it is smaller than the sum of its proper divisors (120676592).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55839888 is a wasteful number, since it uses less digits than its factorization.

55839888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 242 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 54.

The square root of 55839888 is about 7472.6091828758. The cubic root of 55839888 is about 382.2212655966.

The spelling of 55839888 in words is "fifty-five million, eight hundred thirty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 61 72 78 104 108 117 122 144 156 163 183 208 216 234 244 312 326 351 366 432 468 488 489 549 624 652 702 732 793 936 976 978 1098 1304 1404 1464 1467 1586 1647 1872 1956 2119 2196 2379 2608 2808 2928 2934 3172 3294 3912 4238 4392 4401 4758 5616 5868 6344 6357 6588 7137 7824 8476 8784 8802 9516 9943 11736 12688 12714 13176 14274 16952 17604 19032 19071 19886 21411 23472 25428 26352 28548 29829 33904 35208 38064 38142 39772 42822 50856 57096 57213 59658 70416 76284 79544 85644 89487 101712 114192 114426 119316 129259 152568 159088 171288 178974 228852 238632 258518 268461 305136 342576 357948 387777 457704 477264 517036 536922 715896 775554 915408 1034072 1073844 1163331 1431792 1551108 2068144 2147688 2326662 3102216 3489993 4295376 4653324 6204432 6979986 9306648 13959972 18613296 27919944 55839888